Born: Apr. 30, 1777 in Brunswick, Duchy of Brunswick (now
Germany)
Died: Feb 23, 1855 in Gottingen, Hanover (now Germany)
Short Biography
Carl Gauss studied mathematics
when he was very young. When he was in school, his teacher wanted
the class to add up all the numbers from one to one hundred. Carl
finished in less than ten seconds because he had figured out the
formula on his own!
While attending Caroline College (1792-95), Gauss discovered the
least-squares method and a hypothesis on the distribution of prime
numbers among all numbers. In 1896, Jacques Hadamard proved the
hypothesis. During this time, Gauss did not have access to a good
library on mathematics and as a result rediscovered many accepted
theorems.
In 1795, when he went to Gottingen with its excellent library,
Gauss discovered the basic theorem of quadratic residues, which
deals with the problem of congruence in number theory. In 1796 he
proved the possibility of constructing a regular 17-sided polygon
using a ruler and a compass only. During his next four years, he
was very productive, and ideas came to him rapidly. Nevertheless,
he could pursue only some of them. The University of Helmstedt
granted Gauss a Ph.D. for his essay that gave the first proof of
the basic theorem of algebra in 1799.

In 1801 Gauss made two primary accomplishments. The first was
the production of his "Disquisitiones Arithmeticae", an essay on
number theory which continued his answers to many distinguished
problems. The second was the finding of the asteroid Ceres, which
had been briefly noticed in January, 1801 but had then gone from
sight. Gauss calculated Ceres' orbit using an updated theory and
estimated when and where Ceres would appear again. When the
forecast was proved accurate, Gauss's became famous. Subsequently,
he was offered a position as astronomer at the Göttingen
Observatory.

Known to some as one of the
founders of modern statistics, Carl Friedrich Gauss is best known
for invoking the "Normal" (often referred to as "Gaussian") error
distribution.
To fulfill his sense of public loyalty, Gauss undertook a
geodetic study of his country did much of the work himself. In his
hypothetical work on surveying, Gauss refined data he needed from
differential geometry and statistics. During the 1820s, in
partnership with scientist Wilhelm Weber, he explored many areas of
physics, including optics, mechanics, magnetism, and acoustics. In
1833 he built the first telegraph.

The sums of the numbers one through N can be found by using the
equation
Sum = ( N + 1) (N / 2) or N(N + 1) / 2 (same)

What is the sum of the numbers from one to one hundred?
(N + 1) (N / 2)
= 100 + 1 (100 / 2)
= 101 (50)
= 5,050
The sum of the numbers from one to one hundred is 5050.

1.) What is the sum of the numbers from one to
two hundred?
10,000
21,010
20,100
2.) What is the sum of the numbers from one
to twenty-seven?
378
376
394
3.) The sum of the numbers from one to 88
is…
3,828
4,832
3,916


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